Question

The width of a rectangle is 2 m less than one-third of the length x. The area is 144 m^2.

Answer 1

L=18, W=8

Explanation:

Given :

Area (A)=144
`m^2` =LW

Where, L is length and W is width

According to given question ,

`W=(1)/(3) L-2`

Now,

A=LW

144=L
`((1)/(3) L-2)`

432=
`L^(2) -6L`

`L^(2) -6L-432=0\\L^(2) -18L+24L-432\\(L+24) (L-18)\\L=-24\\and L=18`

Length can be in negative so L =18

And

`LW=144\\18W=144\\W=(144)/(18) \\W=8`

Therefore, Length of rectangle is 18 and Width is 8